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Finding the Fourth Proportional to 546.55, 753.40 and 404.39

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Solution

The fourth proportional to 546.55, 753.40 and 404.39 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.55 : 753.40 = 404.39 : x
  2. Step 2: Convert to fraction form
    546.55/753.40 = 404.39/x
  3. Step 3: Cross multiply
    546.55x = 753.40 × 404.39
  4. Step 4: Simplify right side
    546.55x = 304,669.81
  5. Step 5: Solve for x
    x = 304,669.81/546.55
  6. Step 6: Final answer
    x = 557.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.